Answer
The identity is verified.
$sin(\frac{\pi}{2}-θ)~tan~θ=sin~θ$
Work Step by Step
$sin(\frac{\pi}{2}-θ)=cos~θ$
$tan~θ=\frac{sin~θ}{cos~θ}$
$sin(\frac{\pi}{2}-θ)~tan~θ=cos~θ~\frac{sin~θ}{cos~θ}=sin~θ$
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